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Finding the Fourth Proportional to 25,575.92, 38,363.88 and 9,782.56

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Solution

The fourth proportional to 25,575.92, 38,363.88 and 9,782.56 is: 14,673.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,575.92 : 38,363.88 = 9,782.56 : x
  2. Step 2: Convert to fraction form
    25,575.92/38,363.88 = 9,782.56/x
  3. Step 3: Cross multiply
    25,575.92x = 38,363.88 × 9,782.56
  4. Step 4: Simplify right side
    25,575.92x = 375,296,957.93
  5. Step 5: Solve for x
    x = 375,296,957.93/25,575.92
  6. Step 6: Final answer
    x = 14,673.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.